Average Error: 0.0 → 0.0
Time: 946.0ms
Precision: 64
\[\frac{x}{y \cdot 2}\]
↓
\[\frac{x}{2 \cdot y}\]
\frac{x}{y \cdot 2}
↓
\frac{x}{2 \cdot y}
double f(double x, double y) {
        double r6185332 = x;
        double r6185333 = y;
        double r6185334 = 2.0;
        double r6185335 = r6185333 * r6185334;
        double r6185336 = r6185332 / r6185335;
        return r6185336;
}
↓
double f(double x, double y) {
        double r6185337 = x;
        double r6185338 = 2.0;
        double r6185339 = y;
        double r6185340 = r6185338 * r6185339;
        double r6185341 = r6185337 / r6185340;
        return r6185341;
}

Error

Bits error versus x

Bits error versus y

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Results

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Derivation

  1. Initial program 0.0

    \[\frac{x}{y \cdot 2}\]

  2. Final simplification0.0

    \[\leadsto \frac{x}{2 \cdot y}\]

Reproduce

herbie shell --seed 2019172 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C"
  (/ x (* y 2.0)))